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LIFE's mean-field return map predicts an absorbing vacuum phase ($\\rho=0$) and an active phase density, with $\\rho=0.37$, which contrasts with LIFE's absorbing states in a square lattice, which have a stationary density $\\rho_{2D} \\approx 0.03$. Here, we study and classify mean-field maps for $6144$ outer-totalistic CA and compare them with the corresponding behavior"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1407.1006","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-03T18:35:48Z","cross_cats_sorted":["nlin.CG"],"title_canon_sha256":"b1bde5243cf8bdd0cc3810727508465d35f552f226ccda306650caa894143a09","abstract_canon_sha256":"ce83b0bd6e39c49673c70b793d15430f0b956edc40e66ccd087cfd5552af055b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:24.955580Z","signature_b64":"xrre5Nb+aBcW/ZGCajTDTYIU67QbSteraJmHLKoUpAUwUEw/GtIqHGMRkERjkXhagFxuw+c3E8kO1hQP/533DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b08a968b5cc67725501dff13ba773e53a4b01099784feea52af56a36277b580","last_reissued_at":"2026-05-18T02:48:24.954955Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:24.954955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conway's game of life is a near-critical metastable state in the multiverse of cellular automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CG"],"primary_cat":"cond-mat.stat-mech","authors_text":"Osame Kinouchi, Sandro Martinelli Reia","submitted_at":"2014-07-03T18:35:48Z","abstract_excerpt":"Conway's cellular automaton Game of LIFE has been conjectured to be a critical (or quasicritical) dynamical system. 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